A rocket will carry a communications satellite into low Earth orbit. Suppose that the thrust during the first 200 sec of flight is provided by solid rocket boosters at different points during liftoff. The graph shows the acceleration in G-forces (that is, acceleration in 9.8-m/sec2 increments) versus time after launch. a. Approximate the interval(s) over which the acceleration is increasing. b. Approximate the interval(s) over which the acceleration is decreasing. c. How many turning points does the graph show? d. Based on the number of turning points, what is the minimum degree of a 1 polynomial function that could be used to model acceleration versus time? Would the leading coefficient be positive or negative? e. Approximate the time when the acceleration was the greatest. f. Approximate the value of the maximum acceleration.
A rocket will carry a communications satellite into low Earth orbit. Suppose that the thrust during the first 200 sec of flight is provided by solid rocket boosters at different points during liftoff. The graph shows the acceleration in G-forces (that is, acceleration in 9.8-m/sec2 increments) versus time after launch. a. Approximate the interval(s) over which the acceleration is increasing. b. Approximate the interval(s) over which the acceleration is decreasing. c. How many turning points does the graph show? d. Based on the number of turning points, what is the minimum degree of a 1 polynomial function that could be used to model acceleration versus time? Would the leading coefficient be positive or negative? e. Approximate the time when the acceleration was the greatest. f. Approximate the value of the maximum acceleration.
Solution Summary: The author analyzes the graph showing the acceleration in G-forces: Explanation: the intervals over which acceleration is increasing are (0,12)cup
A rocket will carry a communications satellite into low Earth orbit. Suppose that the thrust during the first 200 sec of flight is provided by solid rocket boosters at different points during liftoff.
The graph shows the acceleration in G-forces (that is, acceleration in 9.8-m/sec2 increments) versus time after launch.
a. Approximate the interval(s) over which the acceleration is increasing.
b. Approximate the interval(s) over which the acceleration is decreasing.
c. How many turning points does the graph show?
d. Based on the number of turning points, what is the minimum degree of a 1 polynomial function that could be used to model acceleration versus time?
Would the leading coefficient be positive or negative?
e. Approximate the time when the acceleration was the greatest.
f. Approximate the value of the maximum acceleration.
A rocket will carry a communications satellite into low Earth orbit. Suppose that the thrust during the first 200 sec of fligh
is provided by solid rocket boosters at different points during liftoff. The graph shows the acceleration in G-forces (that is
acceleration in 9.8-m/sec2 increments) versus time after launch.
a. Approximate the interval(s) over which the acceleration is increasing.
b. Approximate the interval(s) over which the acceleration is decreasing.
c. How many turning points does the graph show?
d. Based on the number of turning points, what is the minimum degree of a polynomial function that could be used to
model acceleration versus time? Would the leading coefficient be positive or negative?
e. Approximate the time when the acceleration was the greatest.
f. Approximate the value of the maximum acceleration.
Acceleration in G-Forces vs.
Time after Liftoff
{(184, 2.85),
2.5
2H(12, 1.36)|
1.5
0.5
|(68,0.97)|
40
80
120
160
200
Elapsed Time (sec)
Acceleration (G-Forces)
A mass of 1.25 kg stretches a spring 0.08 mm. The mass is in a medium that exerts a viscous resistance of 45 NN when the mass has a velocity of 6 msms. The viscous resistance is proportional to the speed of the object.Suppose the object is displaced an additional 0.05 mm and released.Find an function to express the object's displacement from the spring's natural position, in mm after tt seconds. Let positive displacements indicate a stretched spring, and use 9.8 ms2ms2 as the acceleration due to gravity.u(t) = 5·10−5(e−3t)sin(349.98t+π2)mIncorrect syntax error. Check your variables - you might be using an incorrect one.
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